Year: 2017
Author: Li-Lian Wang
Journal of Mathematical Study, Vol. 50 (2017), Iss. 2 : pp. 101–143
Abstract
This paper is devoted to a review of the prolate spheroidal wave functions (PSWFs) and their variants from the viewpoint of spectral ⁄ spectral-element approximations using such functions as basis functions. We demonstrate the pros and cons over their polynomial counterparts, and put the emphasis on the construction of essential building blocks for efficient spectral algorithms.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v50n2.17.01
Journal of Mathematical Study, Vol. 50 (2017), Iss. 2 : pp. 101–143
Published online: 2017-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 43
Keywords: Prolate spheroidal wave functions and their generalisations time-frequency concentration problem bandlimited functions finite Fourier ⁄ Hankel transforms quasi-uniform grids well-conditioned prolate collocation scheme prolate-Galerkin method spectral accuracy.